Super-accuracy calculation for the width of a Voigt profile

2021/11/25 by Yihong Wang, Wang, Yihong, Bin Zhou +5
Engineering · Materials Science · #Advancements in Photolithography Techniques #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #Optical Coatings and Gratings #Optics (physics.optics) #Surface Roughness and Optical Measurements

paper · pdf · doi:10.48550/arxiv.2111.15628

openalex publication_date 2021/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A simple approximation scheme to describe the width of the Voigt profile as a function of the relative contributions of Gaussian and Lorentzian broadening is presented. The proposed approximation scheme is highly accurate and provides accuracy better than 10^-17 for arbitrary aLaG ratios. In particular, the accuracy reaches an astonishing 10^-34 (quadruple precision) in the domain aLaG less than 0.2371 and aLaG greater than 33.8786.

Citations

• Algorithm 916
• Rietveld refinement of Debye–Scherrer synchrotron X-ray data from Al2O3
• New approximation to the Voigt function with applications to spectral-line profile analysis
• Notes: An assessment of some closed-form expressions for the Voigt function III: Combinations of the Lorentz and Gauss functions

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• VoigtFit: A Python package for Voigt profile fitting